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Proof step 6 from proof sis-sub-2pot (previous step)

¬(~32768 ≤ i0 + 65536 ∧ i0 + 65536 ≤ 32767), ~65536 ≤ i0, i0 < 0 ⊦ s2i(i2s(i0)) = s2i(i2s(i0 + 65536))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
~65536 ≤ i0, i0 < 0, ~32769 < i0 ⊦ s2i(i2s(i0)) = s2i(i2s(i0 + 65536))

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ i ≤ j ↔ j < i;% ⊦ i + (* j) ≤ (* j0) ↔ i ≤ j0 - j;% ⊦ i + j = j + i;% ⊦ i + j + i0 = (i + j) + i0;%i0 ≠ 0, i0 ≤ i ⊦ (* i) ≤ j → (* i0) ≤ j;% ⊦ (* j) ≤ i0 + (* j0) ↔ j - j0 ≤ i0;